INTERACTIVE COURSE

Beginner

43 Lessons

6h

Certificate of Completion

AI Explanations

AI Explanations

6 Assessments

23 Quizzes

77 Illustrations

Takeaway Skills

An understanding of propositional logic

An understanding of first-order logic

An understanding of deductive logic

Familiarity with the structure of mathematical proofs

Course Overview

Formal logic provides a systematic and rigorous framework for expressing and analyzing arguments, which enables learners to evaluate the validity of reasoning, fostering critical thinking skills. Proficiency in constructing and understanding proofs enhances problem-solving abilities, encourages precision in thought, and promotes clarity in communication. In this course, you’ll explore propositions and logical connectives in propositional logic. Next, you’ll cover first-order logic, which extends the scope ...

Course Content

1

Introduction

2

Propositional Logic

3

Basic Operations

ConjunctionProperties of ConjunctionDisjunctionProperties of DisjunctionNegationPrecedence of Operations and Negating Compound PropositionsDeMorgan's LawsImplicationDerived ImplicationBi-implicationLogical Equivalence Revisited

Assessment-I

Assessment

4

Propositional Toolkit

Assessment-II

Assessment

5

Logical Reasoning

Logical Truths and InferenceInference: Modus Ponens and Modus TollensInference: Addition, Conjunction, and SimplificationInference: Disjunctive and Hypothetical SyllogismInference: Constructive and Destructive DilemmaMathematical Proofs: BasicsMathematical Proofs: A Complex ScenarioCommon Mistakes in ArgumentsLogical Puzzles

Assessment-III

Assessment

6

Quantifiers and First Order Logic

5 Lessons

Assessment-IV

Assessment

7

Quantified Logical Reasoning

4 Lessons

Assessment-V

Assessment

8

Proving Theorems

5 Lessons

Assessment-VI

Assessment

9

Conclusion

1 Lesson

COURSE AUTHOR

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